Can someone please explain this problem?

Consider the experiments involving rolling a single die once. Give the probabilities of the events described. Suppose that an experiment has five separate mutually exclusive outcomes: A,B,C,D and E. If the sample space for the experiment is a uniform sample space, what is P(A or E)?
Thanks for the help.

P(AorE) means getting one of two choices out of a set of five.

P(AorE)=2/5

exactly, say it was a 5 sided dice, each side labeled A-E.

P is probability, what is the probability of rolling an A OR an E the shorthand notation being P(AorE) the answer should be given as a decimal, 1 meaning that the outcome is certain to happen, 0 meaning there is no chance of this happening

To solve this problem, we need to first understand the given information and then apply the concept of probability.

Given:
- The experiment involves rolling a single die once.
- There are five separate mutually exclusive outcomes: A, B, C, D, and E.
- The sample space for the experiment is a uniform sample space.

To find the probability of an event, we need to divide the number of favorable outcomes by the total number of possible outcomes.

In this case, we are required to find the probability of either event A or event E happening. Since events A and E are mutually exclusive, their outcomes do not overlap. Therefore, we can calculate their probabilities separately and then add them together.

To calculate the probability of event A occurring, we need to find the number of favorable outcomes for A and divide it by the total number of possible outcomes (assuming a fair die).

Similarly, to calculate the probability of event E occurring, we need to find the number of favorable outcomes for E and divide it by the total number of possible outcomes.

Once we have both probabilities, we can add them together to find the probability of either A or E occurring (P(A or E)).

Here's a step-by-step breakdown of how to calculate P(A or E):

1. Determine the number of favorable outcomes for event A:
- Count the number of outcomes that fall under event A.
- For example, if A represents rolling an odd number, then the favorable outcomes for A would be 1, 3, and 5.

2. Determine the number of favorable outcomes for event E:
- Count the number of outcomes that fall under event E.

3. Determine the total number of possible outcomes:
- Since we are rolling a single die, the total number of possible outcomes is 6 (assuming a fair die).

4. Calculate the probability of event A:
- Divide the number of favorable outcomes for A by the total number of possible outcomes.
- This will give you the probability of event A occurring.

5. Calculate the probability of event E:
- Divide the number of favorable outcomes for E by the total number of possible outcomes.
- This will give you the probability of event E occurring.

6. Add the probabilities of A and E to find P(A or E):
- Sum up the probabilities of A and E.

Remember to express the probabilities as fractions, decimals, or percentages, depending on the desired format.

By following these steps, you should be able to calculate the probability of the event (A or E) occurring.